#### Mock Instructions

• 1. This is Model Question Paper.
• 2. This is an Online Worksheet.
• 3. Total Questions-50.
• 4. Total Time-60 minutes.

Section-1-Mathematical Thinking:

Q.1- The sum of the squares of 3 consecutive positive numbers is 365. The sum of the numbers is:

(a) 30

(b) 33

(c) 36

(d) 45

Q.2- Which of the following numbers should be added to 11158 to make it exactly divisible by 77?

(a) 9

(b) 8

(c) 6

(d) 7

Q.3- If 45% of a number is added to the another number, the first number becomes 135 times of the another number. What is the ratio of these two numbers?

(a) 8:7

(b) 3:2

(c) 7:8

(d) None of these

Q.4- The sum of all prime numbers between 30 and 42 is:

(a) 103

(b) 109

(c) 105

(d) 104

Q.5- If the number formed by the last two digits of a three digit integer is an integral multiple of 6% the original integer itself will always be divisible by:

(a) 6

(b) 3

(c) 2

(d) 12

Section-2- Application Mathematics:

Q.6- The sum of two numbers is 2490 and if 6.5% of one number is equal to 8.5% of the other, then numbers are-

(a)1414, 1076

(b)1411, 1079

(c)1412, 1078

(d)None of these

Q.7-  If OA and OB are opposite rays; a ray OC inclined. If one of the angle is 75°, then the measurement of the second angle is:

(a) 105°

(b) 70°

(c) 15°

(d) None of the above

Q.8- Two parallel lines are cut by a transversal, then which of the following are true?

1. Pair of alternate interior angles are congruent.
2. Pair Of corresponding angles are congruent.
3. Pair of interior angles on the same side of the transversal are supplementary.

(a) 1, 2, 3 are true

(b) 1 and 3 are true

(c) 1 and 2 are true

(d) 2 and 3 are true

Q.9- The radius of the incircle of a triangle whose sides are 9 cm, 12 cm and 15 cm is___

(a) 9 cm

(b) 13 cm

(c) 3 cm

(d) 6 cm

Q.10- Find measure of central angle of the sector whose perimeter is 25 cm and radius of the circle is 7 cm?

(a) 45°

(b) 22.5°

(c) 135°

(d) 90°

Section-3- Logical Thinking:

Q.11-  Rajan started from his house and went 2 km East, then he turned right and went 3 km, again turned right and went 3 km, again he turned right and covered 1 km and finally after turning right and going 1 km he reached point K. In which direction was Rajan walking when he reached K?

(a) East

(b) South

(c) West

(d) North

Q.12-  In the following question, number of letters skipped in between adjacent letters of the series starting from behind increased by one. Which of the following observes the rule?

(a) OLGDC

(b) ONLKJ

(c) OMKIG

(d) OMJFA

Q.13-  A’s mother is sister of B and has a daughter C. How can A be related to B from among the following?

(a) Uncle

(b) Niece

(c) Daughter

(d) Father

Section-4- High Order Thinking (HOT)

Q.14- Mohan gets 3 marks for each correct sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is-

(a) 25

(b) 10

(c) 15

(d) 20

Q.15- If x/y = 4/9, then what is the value of (7x2-19xy+11y2)/y2?

(a) 59/81

(b) 100/27

(c) 319/81

(d) 913/81